Description
Book SynopsisAimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory, and covers twenty examples of operators, discussing the norm, spectrum, commutant, invariant subspaces, and interesting properties of each operator.
Trade ReviewThe text is supplemented by over 600 end-of-chapter exercises, designed to help the reader master the topics covered in the chapter, as well as providing an opportunity to further explore the vast operator theory literature. Each chapter also contains well researched historical facts which place each chapter within the broader context of the development of the field as a whole. * MathSciNet *
Table of Contents1: Hilbert Spaces 2: Diagonal Operators 3: Infinite Matrices 4: Two Multiplication Operators 5: The Unilateral Shift 6: The Cesàro Operator 7: The Volterra Operator 8: Multiplication Operators 9: The Dirichlet Shift 10: The Bergman Shift 11: The Fourier Transform 12: The Hilbert Transform 13: Bishop Operators 14: Operator Matrices 15: Constructions with the Shift Operator 16: Toeplitz Operators 17: Hankel Operators 18: Composition Operators 19: Subnormal Operators 20: The Compressed Shift
